10204253219840 has 176 divisors, whose sum is σ = 24796105236000. Its totient is φ = 4028858499072.

The previous prime is 10204253219837. The next prime is 10204253219899. The reversal of 10204253219840 is 4891235240201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267465086 + ... + 267503234.

Almost surely, 2^{10204253219840} is an apocalyptic number.

10204253219840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204253219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398052618000).

10204253219840 is an abundant number, since it is smaller than the sum of its proper divisors (14591852016160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10204253219840 is an equidigital number, since it uses as much as digits as its factorization.

10204253219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38850 (or 38832 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 10204253219840 in words is "ten trillion, two hundred four billion, two hundred fifty-three million, two hundred nineteen thousand, eight hundred forty".